If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 9x + -101 = 0 Reorder the terms: -101 + 9x + x2 = 0 Solving -101 + 9x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '101' to each side of the equation. -101 + 9x + 101 + x2 = 0 + 101 Reorder the terms: -101 + 101 + 9x + x2 = 0 + 101 Combine like terms: -101 + 101 = 0 0 + 9x + x2 = 0 + 101 9x + x2 = 0 + 101 Combine like terms: 0 + 101 = 101 9x + x2 = 101 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = 101 + 20.25 Reorder the terms: 20.25 + 9x + x2 = 101 + 20.25 Combine like terms: 101 + 20.25 = 121.25 20.25 + 9x + x2 = 121.25 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = 121.25 Calculate the square root of the right side: 11.011357773 Break this problem into two subproblems by setting (x + 4.5) equal to 11.011357773 and -11.011357773.Subproblem 1
x + 4.5 = 11.011357773 Simplifying x + 4.5 = 11.011357773 Reorder the terms: 4.5 + x = 11.011357773 Solving 4.5 + x = 11.011357773 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = 11.011357773 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = 11.011357773 + -4.5 x = 11.011357773 + -4.5 Combine like terms: 11.011357773 + -4.5 = 6.511357773 x = 6.511357773 Simplifying x = 6.511357773Subproblem 2
x + 4.5 = -11.011357773 Simplifying x + 4.5 = -11.011357773 Reorder the terms: 4.5 + x = -11.011357773 Solving 4.5 + x = -11.011357773 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = -11.011357773 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = -11.011357773 + -4.5 x = -11.011357773 + -4.5 Combine like terms: -11.011357773 + -4.5 = -15.511357773 x = -15.511357773 Simplifying x = -15.511357773Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.511357773, -15.511357773}
| 11(x-44)=22 | | y^3+64=0 | | x+4x=230 | | 3(5n-2)(2n+5)=0 | | x^2+7x-78=0 | | -1+3-2=-5a+6a | | 16(4c-1)-8=62c+16 | | t^2+16=-8t | | 17x-11x=-42 | | (3x+2)(2x+1)=0 | | 2y^2+y-10=0 | | -4.2q=-22.4-1.4q | | 3(2x+1)(2x+5)=0 | | x^2-36=-5x | | 3y-7+y+23=8y+20-6y | | (130+x)(500+x)=3125 | | 4(2z-4)=7(z+3) | | y=2x-25x | | 6(2x-1)=24 | | -41+4y+3=3(3y-3)-9 | | -3y-10=4y+25 | | 6z+2-z=6+4z-1 | | -25+4k=k-2k | | x+(x+3)(-3)=x-3 | | x+x^2=20 | | 3y-10=4y+25 | | 3(x-2)=4(7-2x)+11x | | 23=4x-9 | | -2t+6=-(2t-6) | | z^2-15z-54=0 | | 9x-2=-4x+5.8 | | (50+x)(32+x)=2320 |